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29868968493000 = 233253713227347463
BaseRepresentation
bin1101100101010011010010…
…10000011011111111001000
310220202110000202210112021100
412302221221100123333020
512403333121413234000
6143305340435141400
76201650612064630
oct662515120337710
9126673022715240
1029868968493000
1195763a40394aa
123424981144860
131388829948660
14753946cd16c0
1536be6160da00
hex1b2a6941bfc8

29868968493000 has 1536 divisors, whose sum is σ = 125432276336640. Its totient is φ = 6242668185600.

The previous prime is 29868968492983. The next prime is 29868968493253. The reversal of 29868968493000 is 39486986892.

It is a happy number.

It is a Cunningham number, because it is equal to 54652512-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29868968493000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64511810769 + ... + 64511811231.

It is an arithmetic number, because the mean of its divisors is an integer number (81661638240).

Almost surely, 229868968493000 is an apocalyptic number.

29868968493000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29868968493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62716138168320).

29868968493000 is an abundant number, since it is smaller than the sum of its proper divisors (95563307843640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29868968493000 is a wasteful number, since it uses less digits than its factorization.

29868968493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 29868968493000 in words is "twenty-nine trillion, eight hundred sixty-eight billion, nine hundred sixty-eight million, four hundred ninety-three thousand".